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Finding the Fourth Proportional to 18,584.85, 27,882.74 and 7,485.82

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Solution

The fourth proportional to 18,584.85, 27,882.74 and 7,485.82 is: 11,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.85 : 27,882.74 = 7,485.82 : x
  2. Step 2: Convert to fraction form
    18,584.85/27,882.74 = 7,485.82/x
  3. Step 3: Cross multiply
    18,584.85x = 27,882.74 × 7,485.82
  4. Step 4: Simplify right side
    18,584.85x = 208,725,135.32
  5. Step 5: Solve for x
    x = 208,725,135.32/18,584.85
  6. Step 6: Final answer
    x = 11,230.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.